I/D# 1: Unit N Concept 7 : Knowing All Degrees and Radians Around the Unit Circle, Knowing All the Ordered Pairs Around the Unit Circle, Understanding and Applying ASTC to the Unit Circle

30 Degrees Triangle 

45 Degrees Triangle 

60 Degrees Triangle & The Unit Circle

The coolest thing I learned from this activity was… the special right triangles that we learned about in geometry (which was way back in freshmen year) is actually related to the Unit Circles we began learning about sophomore year. I now know that the ordered pairs aren't just numbers put together randomly, I understand where these numbers come from.
This activity will help me in this unit because…I understand where these numbers come from when it comes down to labeling all ordered pairs. I am able to figure out how to get these ordered pairs if I ever forget what goes where. I can just draw my triangles and solve them to find my ordered pairs.
Something I never realized before about special right triangles and the unit circle is…that they are related. When I first started learning about special right triangles I thought it was going to be something that we just learned and weren't going to go back on it and use it later on like we do when we learned algebra. We are actually taking what we learned about special right triangles in geometry and finding the ordered pairs of them for the Unit Circles we are now learning about in Math Analysis (Pre-Calculus).

RWA #5: Unit M Concept 5: Graphing ellipse given equations (must complete the square first) and identifying all parts (center, focus, major axis, minor axis, vertices, co-vertices, eccentricity)

1. Ellipse- The set of all points such that the sum of the distance of the two points is a constant


2. Equation


Graph
https://www.youtube.com/watch?v=lvAYFUIEpFI

3. RWA- "'The Whisper Chamber' at the United States capital is another example of an ellipse's special properties. Stand at one focus and you can hear perfectly someone whispering at the other focus, though it is much too far away to hear if not for the reflective property specific to ellipses." The National Statuary Hall is were the US House of Representatives use to meet. You are able to whisper from the focus point of the room and the other person on the other focus point is able to here. 
4. References

• http://www.lessonpaths.com/learn/i/unit-m-conic-section-applets/ellipse-drawn-from-definition-geogebra-dynamic-worksheet
• http://www.math.utah.edu/online/1010/conics/
• https://www.youtube.com/watch?v=lvAYFUIEpFI
• https://sites.google.com/site/arinsellipse/real-life-examples